The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  8  2  1  1  1  2  2  1  1  1  8  2  0  1  2  0  1  1  1  8  2  1  1  2  1  1  1  1  1  4  2  1  1  2  4  1  1  1  8  1  1
 0  2  0  6  0  6  4  2  4 14  2  8  6 14 12  4 14  8  2  4  2  2  6  8 10  8  6 14  6  8  2  2 14  2  4  2  2 10 12  2  2  2 10 10  2  0 14  0  4 10  0  8  2  2  2  2 12  2  2  0  0  0
 0  0 12  0  0  0  4  8  0  4  4 12  8  4  4  4  8 12 12  0  8  0  0 12 12  8  0  0  8  8 12  4 12  4  8 12 12 12  0  8  0 12  8  8  8  8  4  0 12  0 12 12  4  0  0  0  4 12 12  4 12  4
 0  0  0 12  0  0  0  4  8  4  4  0  4  4  4 12  8  4  8 12  0 12  0  4 12  4  4 12 12 12  8 12  0  0 12  8  4  0 12  4  0  4  4  8  8  8  0  8 12  4  0  8  4  8  0  4  8  4 12 12  0  4
 0  0  0  0 12  0  0  0  4  4 12  4 12  8  8 12 12  0  0  8  4  8  8 12  0  4 12  8  8  8  4 12  8  4  8  8  0 12 12  8  4  4 12  4 12  4  8  0  8  0  8  0 12  0 12  0  8 12 12  0  4  0
 0  0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  8  0  8  8  8  8  8  8  0  8  8  8  8  8  8  8  8  0  8  0  0  8  8  8  8  0  0  0
 0  0  0  0  0  0  8  8  8  0  8  0  8  8  0  0  0  8  0  8  8  0  8  0  0  0  8  0  8  8  0  8  0  0  0  8  0  8  8  0  0  0  0  8  8  8  8  8  0  8  8  8  0  8  8  0  8  8  8  8  8  0

generates a code of length 62 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+50x^52+128x^53+263x^54+378x^55+638x^56+954x^57+1543x^58+2418x^59+3466x^60+4312x^61+4607x^62+4376x^63+3315x^64+2504x^65+1546x^66+816x^67+632x^68+292x^69+199x^70+110x^71+76x^72+62x^73+30x^74+30x^75+12x^76+4x^77+3x^78+2x^80+1x^90

The gray image is a code over GF(2) with n=496, k=15 and d=208.
This code was found by Heurico 1.16 in 21.1 seconds.